Question

lomont builds a toy block tower 4 2/3 feet high. he puts a toy antenna on the tower that is 1/ 4 foot tall

Answer 1

To find the total height of the toy block tower with the toy antenna added on top, you simply need to add the height of the tower to the height of the antenna.

The height of the tower is \(4 \frac{2}{3}\) feet, and the height of the antenna is \(\frac{1}{4}\) foot.

First, let's convert \(4 \frac{2}{3}\) into an improper fraction:
\[
4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3}
\]

Now we need to add this to \(\frac{1}{4}\). To do this, we need a common denominator. The least common multiple of 3 and 4 is 12.

Next, we convert both fractions to have a denominator of 12:
\[
\frac{14}{3} = \frac{14 \times 4}{3 \times 4} = \frac{56}{12}
\]
\[
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
\]

Now, we can add the two fractions:
\[
\frac{56}{12} + \frac{3}{12} = \frac{56 + 3}{12} = \frac{59}{12}
\]

Finally, we can convert \(\frac{59}{12}\) back to a mixed number:
\[
59 \div 12 = 4 \quad \text{remainder } 11
\]
So,
\[
\frac{59}{12} = 4 \frac{11}{12}
\]

Therefore, the total height of the toy block tower with the antenna is \(4 \frac{11}{12}\) feet.